2х -1 dx 2 V3– x+x²

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

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Q: Consider e" S- for all a E R. a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: Arctan°9x dx =b Arctan 3x+C, i+9x2 what is b?

A: Solving the given integral by substitution.

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Q: Reindex the series to start at k = 0 y = E, (k+ 1)æ*+3 = E£o

A: The given series is y=∑k=7∞k+1xk+3 we have to re index the series to start at k=0. Rewrite the given…

Q: For the following data set, find the regression line without using a calculator. 1 2 3 4 y 3 6 7 9

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t x = 7 – t, y = 7, z =…

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Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

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Q: Using the table below. Write all the possible idea that you may seen in the graph. (one sided limit,…

A: Given

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

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Q: f(x) = |x + 1| (-1,0) Prove that has no tangent line at

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Q: r1–z p1 y2 Try to change the order of integration and rewrite the above integral as equivalent…

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given :Max f(x, y, z) = xyzConstraints :  x + y + z=24, x-y+z=8To find : x, y and z are…

Q: Indicate all critical points on the graph of † in the figure below and determine which correspond to…

A: Consider the figure

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

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Q: dx 21 + C %3D

A: We have to find the value of ?

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Solution is here

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Find the limit. Use L'Hospital's Rule where appropriate.If there is a more elementary method,…

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Q: Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i…

A: Solution: f(x)=1x-1

Q: Find constants a and b so that the minimum for the parabola f(x) = x2 + ax + b Occurs at the point…

A: The given parabola is : f(x)=x2+ax+b We need to find the values of a and b so that the minimum for…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5,…

A: To find gradient of the function at the given point.

Q: Part I x² -9 1. lim х>з х-3

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Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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Q: sin4x dx V cos4x + 1 COS4X

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Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: Use the Mean Value Theorem to show that f(r) = 2x sinh(x – 1) + 2" – x %3D has a critical number…

A: Given: We can see that the function is continuous in [0, 1] and differentiable in (0, 1). So, the…

Q: What is the area of the region bounded by the graph of r2 16 cos 20? (Choose all applicable…

A: The curve r2=16 cos 2θ

Q: Find an equation of the plane that passes through the point P(-2, –4, 2) and has the vector (-5, 4,…

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Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

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Q: Find Duf at P. f(x, y, z) = 4x'y°z?; P(1, – 2, 1); u = - 2. Duf

A: The objective of the question is evaluate the directional derivative at a given point.

Q: The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x) O In…

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Q: Find the vector component of v = (4, -1,7) along b = (2, 3, –6) and the vector component of v…

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Q: (a – x)°dx S(4x + 1)°dx

A: use the substitution method for solving the integral.

Q: y" + 4y' + 6y = 1 + e¬2t , y(0) = 0, y'(0) = 1

A: We need to solve the differential equation.

Q: Use any method to determine whether the series converges or diverges. 00 k + 27 k= The series…

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Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45* 5. 270 3. - Sm 6. 330°

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: 5. Evaluate a. 3! ×4! 5!

A: According to bartleby guidelines we only provide one solution at a time. Solution 5.  3!×4!/5! We no…

Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.